problem stringclasses 500
values | gold_answer stringclasses 301
values | gold_answer_canon stringclasses 296
values | split stringclasses 1
value | step int64 0 0 | sample_idx int64 0 7 | endpoint stringclasses 2
values | deployment stringclasses 1
value | api_version stringclasses 1
value | temperature float64 0.7 0.7 | top_p float64 0.95 0.95 | pass1 dict | usage dict | pass2a dict | pass2b dict | pass2c dict | pass2d dict | pass2 dict |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
$441+2(21)(19)+361=x$. Solve for $x$. | 1600 | 1600 | test | 0 | 0 | openrouter | DeepSeek-R1 | null | 0.7 | 0.95 | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"_shift_prefilter_markers": [],
"_shift_prefilter_pos": null,
"shift_in_reasoning_v1": false,
"shift_markers_v1": [],
"shift_... | {
"prompt_tokens": 388,
"completion_tokens": 348,
"total_tokens": 736
} | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Hold on, this reasoning might be wrong. Let's go back and check each step carefully.",
"has_reconsider_cue": true,
"... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Actually, this approach doesn't look correct. Let's restart and work through the solution more systematically.",
"has_... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Please answer the problem again.",
"has_reconsider_cue": false,
"reconsider_markers": [],
"is_correct_after_recons... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... |
$441+2(21)(19)+361=x$. Solve for $x$. | 1600 | 1600 | test | 0 | 1 | openrouter | DeepSeek-R1 | null | 0.7 | 0.95 | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"_shift_prefilter_markers": [],
"_shift_prefilter_pos": null,
"shift_in_reasoning_v1": false,
"shift_markers_v1": [],
"shift_... | {
"prompt_tokens": 388,
"completion_tokens": 499,
"total_tokens": 887
} | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Hold on, this reasoning might be wrong. Let's go back and check each step carefully.",
"has_reconsider_cue": true,
"... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Actually, this approach doesn't look correct. Let's restart and work through the solution more systematically.",
"has_... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Please answer the problem again.",
"has_reconsider_cue": false,
"reconsider_markers": [],
"is_correct_after_recons... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... |
$441+2(21)(19)+361=x$. Solve for $x$. | 1600 | 1600 | test | 0 | 2 | openrouter | DeepSeek-R1 | null | 0.7 | 0.95 | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"_shift_prefilter_markers": [],
"_shift_prefilter_pos": null,
"shift_in_reasoning_v1": false,
"shift_markers_v1": [],
"shift_... | {
"prompt_tokens": 388,
"completion_tokens": 481,
"total_tokens": 869
} | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Hold on, this reasoning might be wrong. Let's go back and check each step carefully.",
"has_reconsider_cue": true,
"... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Actually, this approach doesn't look correct. Let's restart and work through the solution more systematically.",
"has_... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Please answer the problem again.",
"has_reconsider_cue": false,
"reconsider_markers": [],
"is_correct_after_recons... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... |
$441+2(21)(19)+361=x$. Solve for $x$. | 1600 | 1600 | test | 0 | 3 | openrouter | DeepSeek-R1 | null | 0.7 | 0.95 | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"_shift_prefilter_markers": [],
"_shift_prefilter_pos": null,
"shift_in_reasoning_v1": false,
"shift_markers_v1": [],
"shift_... | {
"prompt_tokens": 388,
"completion_tokens": 469,
"total_tokens": 857
} | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Hold on, this reasoning might be wrong. Let's go back and check each step carefully.",
"has_reconsider_cue": true,
"... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Actually, this approach doesn't look correct. Let's restart and work through the solution more systematically.",
"has_... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Please answer the problem again.",
"has_reconsider_cue": false,
"reconsider_markers": [],
"is_correct_after_recons... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... |
$441+2(21)(19)+361=x$. Solve for $x$. | 1600 | 1600 | test | 0 | 4 | openrouter | DeepSeek-R1 | null | 0.7 | 0.95 | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"_shift_prefilter_markers": [],
"_shift_prefilter_pos": null,
"shift_in_reasoning_v1": false,
"shift_markers_v1": [],
"shift_... | {
"prompt_tokens": 388,
"completion_tokens": 769,
"total_tokens": 1157
} | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Hold on, this reasoning might be wrong. Let's go back and check each step carefully.",
"has_reconsider_cue": true,
"... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Actually, this approach doesn't look correct. Let's restart and work through the solution more systematically.",
"has_... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Please answer the problem again.",
"has_reconsider_cue": false,
"reconsider_markers": [],
"is_correct_after_recons... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... |
$441+2(21)(19)+361=x$. Solve for $x$. | 1600 | 1600 | test | 0 | 5 | openrouter | DeepSeek-R1 | null | 0.7 | 0.95 | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"_shift_prefilter_markers": [],
"_shift_prefilter_pos": null,
"shift_in_reasoning_v1": false,
"shift_markers_v1": [],
"shift_... | {
"prompt_tokens": 388,
"completion_tokens": 371,
"total_tokens": 759
} | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Hold on, this reasoning might be wrong. Let's go back and check each step carefully.",
"has_reconsider_cue": true,
"... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Actually, this approach doesn't look correct. Let's restart and work through the solution more systematically.",
"has_... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Please answer the problem again.",
"has_reconsider_cue": false,
"reconsider_markers": [],
"is_correct_after_recons... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... |
$441+2(21)(19)+361=x$. Solve for $x$. | 1600 | 1600 | test | 0 | 6 | openrouter | DeepSeek-R1 | null | 0.7 | 0.95 | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"_shift_prefilter_markers": [],
"_shift_prefilter_pos": null,
"shift_in_reasoning_v1": false,
"shift_markers_v1": [],
"shift_... | {
"prompt_tokens": 388,
"completion_tokens": 678,
"total_tokens": 1066
} | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Hold on, this reasoning might be wrong. Let's go back and check each step carefully.",
"has_reconsider_cue": true,
"... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Actually, this approach doesn't look correct. Let's restart and work through the solution more systematically.",
"has_... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Please answer the problem again.",
"has_reconsider_cue": false,
"reconsider_markers": [],
"is_correct_after_recons... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... |
$441+2(21)(19)+361=x$. Solve for $x$. | 1600 | 1600 | test | 0 | 7 | openrouter | DeepSeek-R1 | null | 0.7 | 0.95 | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"_shift_prefilter_markers": [],
"_shift_prefilter_pos": null,
"shift_in_reasoning_v1": false,
"shift_markers_v1": [],
"shift_... | {
"prompt_tokens": 388,
"completion_tokens": 497,
"total_tokens": 885
} | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Hold on, this reasoning might be wrong. Let's go back and check each step carefully.",
"has_reconsider_cue": true,
"... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Actually, this approach doesn't look correct. Let's restart and work through the solution more systematically.",
"has_... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Please answer the problem again.",
"has_reconsider_cue": false,
"reconsider_markers": [],
"is_correct_after_recons... | {
"output": "<answer>\n1600\n</answer>",
"pred_answer": "1600",
"pred_answer_canon": "1600",
"is_correct_pred": true,
"valid_tag_structure": false,
"finish_reason": "stop",
"cue_text": "Wait, something is not right, we need to reconsider. Let's think this through step by step.",
"has_reconsider_cue": tr... |
$\overline{BC}$ is parallel to the segment through $A$, and $AB = BC$. What is the number of degrees represented by $x$?
[asy]
draw((0,0)--(10,0));
draw((0,3)--(10,3));
draw((2,3)--(8,0));
draw((2,3)--(4,0));
label("$A$",(2,3),N);
label("$B$",(4,0),S);
label("$C$",(8,0),S);
label("$124^{\circ}$",(2,3),SW);
label("$x^{... | 28 | 28 | test | 0 | 0 | https://liv.services.ai.azure.com | DeepSeek-R1 | 2024-05-01-preview | 0.7 | 0.95 | {
"output": "<think>\nOkay, let's try to figure out this geometry problem. So, the problem says that segment BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x, which is labeled at point (4.5,3), which I think is somewhere along the top line. The Asymptote code draws two... | {
"prompt_tokens": 524,
"completion_tokens": 900,
"total_tokens": 1424
} | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. The Asymptote code provides coordinates, but maybe the key is to use the given conditions rather than the specific coordinates. Let's focus on the geometric relationships.\n\n1. **Identify ... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x, which is labeled near (4.5,3) on the upper line. The Asymptote diagram shows two horizontal lines (y=0 and y=3) with points A at (2,3), B at (4,0), a... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x. The Asymptote diagram shows two horizontal lines (y=0 and y=3). Points A(2,3), B(4,0), C(8,0). The angle at A is 124°, and x is labeled near (4.5,3) ... | {
"output": "<think>\nOkay, let me try to approach this step by step. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x, which is at the point (4.5, 3) on the upper horizontal line. The Asymptote diagram shows two horizontal lines (y=0 and y=3) w... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x. The Asymptote diagram shows two horizontal lines (y=0 and y=3). Points A(2,3), B(4,0), C(8,0). The angle at A is 124°, and x is labeled near (4.5,3) ... |
$\overline{BC}$ is parallel to the segment through $A$, and $AB = BC$. What is the number of degrees represented by $x$?
[asy]
draw((0,0)--(10,0));
draw((0,3)--(10,3));
draw((2,3)--(8,0));
draw((2,3)--(4,0));
label("$A$",(2,3),N);
label("$B$",(4,0),S);
label("$C$",(8,0),S);
label("$124^{\circ}$",(2,3),SW);
label("$x^{... | 28 | 28 | test | 0 | 1 | https://liv.services.ai.azure.com | DeepSeek-R1 | 2024-05-01-preview | 0.7 | 0.95 | {
"output": "<think>\nOkay, let's try to figure out this geometry problem. So, the problem says that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x, which is labeled at point (4.5,3), so probably near point B or somewhere along the line. The Asymptote code draws two ... | {
"prompt_tokens": 524,
"completion_tokens": 900,
"total_tokens": 1424
} | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find angle x. The Asymptote code provides coordinates: A(2,3), B(4,0), C(8,0). The upper line is y=3, lower line y=0. BC is from (4,0) to (8,0), so it's length is 4 units. AB is ... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to a segment through point A, and AB equals BC. We need to find the measure of angle x. The Asymptote code provides coordinates: A at (2,3), B at (4,0), C at (8,0). The upper line is y=3, lower line y=0. BC is from (4,0) to (8,0), wh... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to a segment through point A, and AB equals BC. We need to find the measure of angle x. The Asymptote code provides coordinates: A is at (2,3), B at (4,0), and C at (8,0). The upper line is y=3, and the lower line is y=0. BC is from ... | {
"output": "<think>\nOkay, let's tackle this geometry problem step by step. The problem states that segment BC is parallel to a segment through point A, and AB equals BC. We need to find the measure of angle x, which is labeled near point B on the upper horizontal line.\n\nFirst, let's understand the given diagram. ... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to a segment through point A, and AB equals BC. We need to find the measure of angle x. The Asymptote code provides coordinates: A is at (2,3), B at (4,0), and C at (8,0). The upper line is y=3, and the lower line is y=0. BC is from ... |
$\overline{BC}$ is parallel to the segment through $A$, and $AB = BC$. What is the number of degrees represented by $x$?
[asy]
draw((0,0)--(10,0));
draw((0,3)--(10,3));
draw((2,3)--(8,0));
draw((2,3)--(4,0));
label("$A$",(2,3),N);
label("$B$",(4,0),S);
label("$C$",(8,0),S);
label("$124^{\circ}$",(2,3),SW);
label("$x^{... | 28 | 28 | test | 0 | 2 | https://liv.services.ai.azure.com | DeepSeek-R1 | 2024-05-01-preview | 0.7 | 0.95 | {
"output": "<think>\nOkay, let's try to figure out this geometry problem. So, the problem says that segment BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x, which is labeled near point B on the upper line.\n\nFirst, I need to visualize the diagram. There are two hori... | {
"prompt_tokens": 524,
"completion_tokens": 900,
"total_tokens": 1424
} | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find angle x.\n\nFirst, let's clarify the given information. BC is parallel to a segment that passes through point A. Since BC is a segment on the lower line (assuming the Asy co... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to a segment through point A, and AB equals BC. We need to find the measure of angle x.\n\nFirst, let's parse the given information. The Asymptote code shows two horizontal lines: one at y=0 (with points B and C) and another at y=3 (... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find angle x.\n\nFirst, since BC is parallel to the segment through A, that segment must be horizontal because BC is on the lower line (y=0), which is horizontal. Therefore, the ... | {
"output": "<think>\nOkay, let's tackle this problem step by step. \n\nFirst, the problem states that segment BC is parallel to the segment through point A, and AB equals BC. We need to find the measure of angle x. \n\nFrom the Asymptote code, the diagram has two horizontal lines: one at y=0 (with points B and C) an... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find angle x.\n\nFirst, since BC is parallel to the segment through A, that segment must be horizontal because BC is on the lower line (y=0), which is horizontal. Therefore, the ... |
$\overline{BC}$ is parallel to the segment through $A$, and $AB = BC$. What is the number of degrees represented by $x$?
[asy]
draw((0,0)--(10,0));
draw((0,3)--(10,3));
draw((2,3)--(8,0));
draw((2,3)--(4,0));
label("$A$",(2,3),N);
label("$B$",(4,0),S);
label("$C$",(8,0),S);
label("$124^{\circ}$",(2,3),SW);
label("$x^{... | 28 | 28 | test | 0 | 3 | https://liv.services.ai.azure.com | DeepSeek-R1 | 2024-05-01-preview | 0.7 | 0.95 | {
"output": "<think>\nOkay, let's try to figure out this geometry problem. So, the problem says that segment BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x, which is labeled at point B, I think. Wait, looking at the Asymptote code, the label for x is at (4.5,3), whic... | {
"prompt_tokens": 524,
"completion_tokens": 900,
"total_tokens": 1424
} | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to a segment through point A, and AB equals BC. We need to find the measure of angle x, which is labeled near (4.5,3) on the Asymptote diagram. \n\nFirst, let's interpret the diagram. The upper horizontal line is at y=3, with point A... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to a segment through point A, and AB equals BC. We need to find the measure of angle x, which is labeled near point B on the lower line. The Asymptote code shows that A is at (2,3), B at (4,0), and C at (8,0). The angle at A is 124 d... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x. The Asymptote code provides coordinates: A is at (2,3), B at (4,0), C at (8,0). The upper line is y=3, lower line y=0. BC is from (4,0) to (8,0), whi... | {
"output": "<think>\nOkay, let's tackle this problem step by step. First, I need to understand the given information and the diagram. The Asymptote code shows two horizontal lines: one at y=0 (with points B at (4,0) and C at (8,0)) and another at y=3 (with point A at (2,3)). There are segments connecting A to B and ... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x. The Asymptote code provides coordinates: A is at (2,3), B at (4,0), C at (8,0). The upper line is y=3, lower line y=0. BC is from (4,0) to (8,0), whi... |
$\overline{BC}$ is parallel to the segment through $A$, and $AB = BC$. What is the number of degrees represented by $x$?
[asy]
draw((0,0)--(10,0));
draw((0,3)--(10,3));
draw((2,3)--(8,0));
draw((2,3)--(4,0));
label("$A$",(2,3),N);
label("$B$",(4,0),S);
label("$C$",(8,0),S);
label("$124^{\circ}$",(2,3),SW);
label("$x^{... | 28 | 28 | test | 0 | 4 | https://liv.services.ai.azure.com | DeepSeek-R1 | 2024-05-01-preview | 0.7 | 0.95 | {
"output": "<think>\nOkay, let's try to figure out this geometry problem. So, the problem says that segment BC is parallel to the segment through point A, and AB equals BC. We need to find the measure of angle x, which is labeled near point B on the upper line.\n\nFirst, I need to visualize the diagram. The Asymptot... | {
"prompt_tokens": 524,
"completion_tokens": 900,
"total_tokens": 1424
} | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find angle x.\n\nFirst, let's clarify the given information. The Asymptote code provides coordinates, but maybe we shouldn't rely on them. Instead, focus on the relationships: BC... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x. The Asymptote code provides coordinates, but maybe we shouldn't rely on them. Let's focus on the given information.\n\nFirst, let's sketch the diagra... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find angle x.\n\nFirst, let's clarify the given information. The Asymptote code provides coordinates, but maybe we shouldn't rely on them since the problem might be general. Howe... | {
"output": "<think>\nOkay, let's tackle this problem again. The key points are that BC is parallel to a segment through A, and AB equals BC. We need to find the measure of angle x.\n\nFirst, since BC is parallel to the segment through A, let's denote that segment as AD. Because BC is equal in length to AB, triangle ... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find angle x.\n\nFirst, let's clarify the given information. The Asymptote code provides coordinates, but maybe we shouldn't rely on them since the problem might be general. Howe... |
$\overline{BC}$ is parallel to the segment through $A$, and $AB = BC$. What is the number of degrees represented by $x$?
[asy]
draw((0,0)--(10,0));
draw((0,3)--(10,3));
draw((2,3)--(8,0));
draw((2,3)--(4,0));
label("$A$",(2,3),N);
label("$B$",(4,0),S);
label("$C$",(8,0),S);
label("$124^{\circ}$",(2,3),SW);
label("$x^{... | 28 | 28 | test | 0 | 5 | https://liv.services.ai.azure.com | DeepSeek-R1 | 2024-05-01-preview | 0.7 | 0.95 | {
"output": "<think>\nOkay, let's try to figure out this geometry problem. So, the problem says that segment BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x, which is labeled near point B on the upper line.\n\nFirst, I need to visualize the diagram. There are two hori... | {
"prompt_tokens": 524,
"completion_tokens": 900,
"total_tokens": 1424
} | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find angle x.\n\nFirst, let's parse the given information correctly. The Asymptote code draws two horizontal lines (y=0 and y=3). Points B and C are on the lower line (y=0) at (4... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x, which is located at the upper line near point B.\n\nFirst, let's note the key information:\n\n1. BC is parallel to a segment passing through point A.... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x. The Asymptote code shows two horizontal lines (y=0 and y=3), with points A(2,3), B(4,0), and C(8,0). The angle at A is 124°, and x is labeled near (4... | {
"output": "<think>\nOkay, let's tackle this problem step by step. The key information given is that segment BC is parallel to a segment through point A, and AB equals BC. We need to find the measure of angle x, which is located near point B on the upper line.\n\nFirst, let's visualize the diagram. There are two hor... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x. The Asymptote code shows two horizontal lines (y=0 and y=3), with points A(2,3), B(4,0), and C(8,0). The angle at A is 124°, and x is labeled near (4... |
$\overline{BC}$ is parallel to the segment through $A$, and $AB = BC$. What is the number of degrees represented by $x$?
[asy]
draw((0,0)--(10,0));
draw((0,3)--(10,3));
draw((2,3)--(8,0));
draw((2,3)--(4,0));
label("$A$",(2,3),N);
label("$B$",(4,0),S);
label("$C$",(8,0),S);
label("$124^{\circ}$",(2,3),SW);
label("$x^{... | 28 | 28 | test | 0 | 6 | https://liv.services.ai.azure.com | DeepSeek-R1 | 2024-05-01-preview | 0.7 | 0.95 | {
"output": "<think>\nOkay, let's try to figure out this geometry problem. So, the problem says that segment BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x, which is labeled at point (4.5,3), probably at point B or somewhere near. The Asymptote code draws two horizon... | {
"prompt_tokens": 524,
"completion_tokens": 900,
"total_tokens": 1424
} | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. The Asymptote diagram shows points A(2,3), B(4,0), and C(8,0). The lines drawn are two horizontal lines at y=0 and y=3, with BC on the lower line. The segment through A that's parallel to B... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x, which is labeled near point B (4,0) but the angle mark is at (4.5,3), which might be a different point. Let me look at the Asymptote code again. The ... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. The diagram shows points A(2,3), B(4,0), and C(8,0). The Asymptote code draws two horizontal lines (y=0 and y=3), with BC is on y=0. The segment through A that's parallel to BC must also be... | {
"output": "<think>\nOkay, let me try to approach this problem again carefully. The problem states that BC is parallel to the segment through A, and AB equals BC. We need to find the measure of angle x, which is labeled near point B at (4.5,3). The Asymptote diagram shows two horizontal lines at y=0 and y=3, with po... | {
"output": "<think>\nOkay, let's start over. The problem states that BC is parallel to the segment through A, and AB equals BC. The diagram shows points A(2,3), B(4,0), and C(8,0). The Asymptote code draws two horizontal lines (y=0 and y=3), with BC is on y=0. The segment through A that's parallel to BC must also be... |
End of preview. Expand in Data Studio
deepseek-r1-math500-t07
This dataset repo contains external-model traces used in the Illusion-of-Reasoning analysis.
- Domain:
MATH-500 - Model:
DeepSeek-R1 - Target temperature label:
0.7 - Rows in
data.jsonl:4000 - Source artifact:
/n/fs/similarity/Illusion-of-Reasoning/artifacts/results/deepseek-r1-openrouter-temp07/step0000_test.jsonl
Notes:
- Full G=8 traces from local artifact root.
- Rows are uploaded as raw JSONL records from the local analysis artifacts.
- Downloads last month
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